Parallel Lines and Transversals Relationship

• 34x +28 = 180

• 34x = 10

• 12x + 19 = 22x - 9

• 12x + 19 + 22x - 9 = 180

Tags

CCSS.8.G.A.5

• x=8

Tags

CCSS.8.G.A.5

Which pair of angles are alternate exterior angles?

• Angle 7 and Angle 4

• Angle 2 and Angle 6

• Angle 8 and Angle 1

• Angle 2 and Angle 8

Answer explanation

Alternate exterior angles are formed when a transversal crosses two parallel lines. Angle 8 and Angle 1 are on opposite sides of the transversal and outside the parallel lines, making them alternate exterior angles.

Tags

CCSS.8.G.A.5

If lines are parallel, then alternate interior angles are _____________

• congruent

• parallel

• complementary

• supplementary

Answer explanation

If lines are parallel, the alternate interior angles formed are always equal in measure, making them congruent. This is a fundamental property of parallel lines cut by a transversal.

Tags

CCSS.8.G.A.5

Name the angle relationship.

• Alternate Interior

• Alternate Exterior

• Corresponding

• Vertical Angles

Answer explanation

The correct answer is 'Alternate Interior' because this angle relationship occurs when two parallel lines are cut by a transversal, creating pairs of angles that are on opposite sides of the transversal and inside the parallel lines.

Tags

CCSS.8.G.A.5

If two lines are crossed by a transversal and the lines are parallel, corresponding angles are _____________.

Tags

CCSS.8.G.A.5

If two lines are crossed by a transversal and the alternate interior angles are congruent then the lines are ____________________.

Tags

CCSS.8.G.A.5

If two parallel lines are crossed by a transversal, same side interior angles are _______________.

Tags

CCSS.8.G.A.5

Name the angle relationship.

• Alternate Interior

• Alternate Exterior

• Corresponding

• Vertical Angles

Answer explanation

The correct answer is 'Alternate Exterior' because this angle relationship occurs when two exterior angles are on opposite sides of a transversal and are formed by two parallel lines. This relationship is key in geometry.

Tags

CCSS.8.G.A.5

What is the Angle Relationship? 

• Alternate Interior

• Alternate Exterior

• Corresponding

• Same Side Interior

Answer explanation

The Angle Relationship refers to the positions of angles formed when two lines are crossed by a transversal. Alternate Exterior angles are equal, making 'Alternate Exterior' the correct choice among the options.

Tags

CCSS.8.G.A.5